Consider a triangle with sides 3 cm, 4 cm, and x cm. Let g be the included angles of the sides with measures 3 cm and 4 cm. Let a be the value of 0 that will give the largest possible area. What is sing?

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Suppose a triangle has vertices A, B and C and has the following measurements: m2C = 92° AC = 39.9…

A: It is observed here that 2 sides and the included angle is given. Therefore the cosine rule has to…

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A: Use congruence triangle

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A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

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A: Given: In △XYZ YW→ bisects ∠XYZ and WX≅WZ, To prove: △XYZ is isosceles.

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A: Sketch the triangle ABC.

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A: Consider this picture for ease of understanding.

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A: Given:

Q: In circle M, secants PAMD and PBC are drawn from point P such that mBC = 58° and mCD=92°. Which of…

A: We are given with you multiple question and our guideline is solve first question.

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1,…

A: Given:

Q: 24 8 10 16 15 12.8

A: In geometry, two shapes are similar if they are the same shape but different sizes.   Similar…

Q: Given, A DEF is an isoceles triangle with LD Ver ted angle. as the ,. DE DF E F DE = 4x-7 EF 3x +2…

A: Given that DE=DF So, 4x-7=6x-1515-7=6x-4x8=2xx=82x=4

Q: Consider a triangle with sides 3 cm, 4 cm, and x cm. Let a be the included angles of the sides with…

A:

Q: Find the base a of an isosceles triangle with the legs b such that the inscribed circle has the…

A:

Q: Given:  D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R. (x + 1) (3x…

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Q: 17. If AC is a diameter of O0, find the area of the shaded triangle. Exercise 17

A: From the given figure, obtain the area of triangle ABC: A∆ABC=12bh=128+47+4=6×11=66 Obtain the area…

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A: Explanation and solutions is given below....

Q: In the diagram below, AB, BC, and AC are tangents to circle 0 at points F, E, and D, respectively,…

A: From an external point, only two tangents can be drawn to a circle and they are equal in length.

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A: We know that the full circular angle is 360o. Given that the area of the circle is 36 pi feet2. We…

Q: Consider a triangle with sides 3 cm, 4 cm, and y cm. Let a be the included angles of the sides with…

A: Trignometry.

Q: 8. Classify the following triangle based on its shape. C isosceles equilateral scalene right A,

A: There is right angle between sides A and C.

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A: Given: XY=5 cm ∠C=30°

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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Q: Determine all the possible measurements of the third side of a triangle whose first side has length…

A: Solution:-

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

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Q: A unit circle with center P is shown. In circde P, LJPK is a right angle, mZ HPJ = ;mZ JPK, and mZ…

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Q: On graph paper, draw the x-axis and the y-axis. Using a scale of 1 cm to represent 1 unit on both…

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Q: Complete the table below to prove that the two triangles are similar. If Then: AHEY- Then: AA E Ther

A: In the question it is asked to show the triangles are similar. We have to write the congruency rule…

Q: In the diagram below of triangle KLM, N is a midpoint of KL and Pis a midpoint of LM. If N P: = x +…

A:

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mLW XU = 60…

A: Solution: The objective is to find the required angle

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mZW XU = 68…

A: as X and W are midpoints of UV and  UT respectively, line WX divides line UT and UV proportionally

Q: 6.) Of the following side measures, which could represent the length of side AC in triangle ABC? 26…

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Q: Use the results from Exercises 36 and 37 to find the length of the radius of the inscribed circle…

A: a) The sides of triangle are given to be 8, 15 and 17. Let us check whether the triangle is right…

Q: Given the isosceles triangle ABC with AB=AC=x and BC=2y.   show that if A s the area of the…

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Q: F. 124 A 64 If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon…

A: Given that AF is perpendicular to EF which implies that the value of the interior angle AFE is 90o.…

Q: At the triangle ABC is AC = 8, B = 30° and the length of the normal BP from B on the line through AC…

A:

Q: Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

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Q: If A = B = C = are the coordinates of a triangle, compute: A C length of AC length of AB B units…

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Q: Given isosceles trapezoid JAYS. ON is the midline. A Y J

A: I assume that the mid line means here is  O is mid point of AJ. N is the mid point of YS.

Q: Given A ABC, let M be the midpoint of segment AB and let N be the midpoint of segment BC. Then 2…

A:

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: Find the measure (in degrees, not equal to the given measure) of the least positive angle that IS…

A:

Q: Find the angle of least positive measure(in degrees, not equal to the given measure) that is…

A: Topic:- Geometry Answer = 173°

Q: 7.) Find the area of the triangle ABC under the given conditions: a) A = 44°, b = 3 ft, and c = 2 ft…

A: Here I have provided solution with formulas in step 2.

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 64 –…

A: As given D is midpoint of AB so BD=AB/2 As given E is midpoint of BC so BE=BC/2 Now using property…

Q: Consider a triangle with sides 3 cm, 4 cm, and x cm. Let a be the included angles of the sides with…

A: Area of a triangle is maximum when one of the angle is 90 degree

Q: Given: LBAC LBCA, M and N are midpoints of AB and CB, respectively Show: LAMC LCNA M.

A: Given  ∠BAC≅∠BCA M and N are midpoints of AB and CB , this implies  AM=MBCN=NB To show: ∠AMC≅ ∠CNA…

Q: Consider a triangle with sides 3 cm, 4 cm, and cm. Let , be the included angles of the sides with…

A: Given, b= 3 c= 4 theta=?